A simplified finite volume lattice Boltzmann method for simulations of fluid flows from laminar to turbulent regime, Part I: Numerical framework and its application to laminar flow simulation

Wang, Yong; Zhong, Chengwen; Cao, Jun; Zhuo, Congshan; Liu, Sha

doi:10.1016/j.camwa.2019.09.017

Cited by 16 publications

(6 citation statements)

References 51 publications

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“…For flow at Kn (h 0 ) = 0.1, the largest damping torques obtained by two different methods are almost the same, so the traditional decoupled method still exhibits a good performance to predict the rarefied gas damping torque coefficient η in Eq. (22). And for flow at Kn (h 0 ) = 1.0, due to the rarefaction effect, the differences of results are obvious at a high tilting oscillation frequency.…”

Section: Coupled Method: Squeeze-film Damping Torque At Forced Oscill...mentioning

confidence: 88%

“…1, for the decoupled method, when the damping coefficient is determined, it will be treated as the structure intrinsic damping; then, Eq. ( 21) or (22) will be solved to predict the response the micro-beam.…”

Section: Decoupled Methodsmentioning

confidence: 99%

“…Due to its kinetic nature, the DUGKS has many advantages over other numerical methods, and has ability to solve the flow problems in all flow regimes. For example, in the continuum flow regime, as it can adopt a larger Courant-Friedrichs-Lewy (CFL) number, and is less sensitive to mesh resolutions, so the DUGKS has a good performance than the traditional finite volume lattice Boltzmann method (FVLBM) [21,22,23]. And in the rarefied flow regime, the computational cost is declined compared to the unified gas kinetic scheme [24] (UGKS).…”

Section: Introductionmentioning

confidence: 99%

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Investigation of nonlinear squeeze-film damping involving rarefied gas effect in micro-electro-mechanical-systems

Wang¹,

Li²,

Zhuo³

et al. 2022

Preprint

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In this paper, the nonlinear squeeze-film damping (SFD) involving rarefied gas effect in the micro-electro-mechanical-systems (MEMS) is investigated. Considering the motion of structures (beam, cantilever, and membrane) in MEMS, the dynamic response of structure will be influenced largely by the squeeze-film damping. In the traditional model, a viscous damping assumption that damping force is linear with moving velocity is used. As the nonlinear damping phenomenon is observed for a micro-structure oscillating with a high-velocity, this assumption is invalid and will generates error result for predicting the response of micro-structure. In addition, due to the small size of device and the low pressure of encapsulation, the gas in MEMS usually is rarefied gas. Therefore, to correctly predict the damping force, the rarefied gas effect must be considered. To study the nonlinear SFD phenomenon involving the rarefied gas effect, a kinetic method, namely discrete unified gas kinetic scheme (DUGKS), is adopted. And based on DUGKS, two solving methods, a traditional decoupled method (Eulerian scheme) and a coupled framework (arbitrary Lagrangian-Eulerian scheme), are adoped. With these two methods, two basic motion forms, linear (perpendicular) and tilting motions of a rigid micro-beam, are studied with forced and free oscillations.

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Section: Coupled Method: Squeeze-film Damping Torque At Forced Oscill...mentioning

confidence: 88%

Section: Decoupled Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Investigation of nonlinear squeeze-film damping involving rarefied gas effect in micro-electro-mechanical-systems

Wang¹,

Li²,

Zhuo³

et al. 2022

Preprint

Self Cite

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“…The DBM [51][52][53][54][55][56][57] is developed from a hybrid of Lattice Boltzmann method (LBM) [58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76] and the phase space description method of statistical physics. It is one of the concrete applications of statistical physics coarse-grained modeling method in the field of fluid mechanics, and is a further development of the description method of statistical physical phase space in the form of discrete Boltzmann equation.…”

Section: Discrete Boltzmann Modeling Methodsmentioning

confidence: 99%

Effects of the initial perturbations on the Rayleigh-Taylor-Kelvin-Helmholtz instability system

Chen,

Xu,

Zhang

et al. 2021

Preprint

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In the paper, the effects of initial perturbations on the Rayleigh-Taylor instability (RTI), Kelvin-Helmholtz instability (KHI), and the coupled Rayleigh-Taylor-Kelvin-Helmholtz instability (RTKHI) systems are investigated using a multiple-relaxation-time discrete Boltzmann model. Six different perturbation interfaces are designed to study the effects of the initial perturbations on the instability systems. It is found that the initial perturbation has a significant influence on the evolution of RTI. The sharper the interface, the faster the growth of bubble or spike. While the influence of initial interface shape on KHI evolution can be ignored. Based on the mean heat flux strength D 3,1 , the effects of initial interfaces on the coupled RTKHI are examined in detail. The research is focused on two aspects: (i) the main mechanism in the early stage of the RTKHI, (ii) the transition point from KHI-like to RTI-like for the case where the KHI dominates at earlier time and the RTI dominates at later time. It is found that the early main mechanism is related to the shape of the initial interface, which is represented by both the bilateral contact angle θ 1 and the middle contact angle θ 2 . The increase of θ 1 and the decrease of θ 2 have opposite effects on the critical velocity. When θ 2 remains roughly unchanged at 90 degrees, if θ 1 is greater than 90 degrees (such as the parabolic interface), the critical shear velocity increases with the increase of θ 1 , and the ellipse perturbation is its limiting case; If θ 1 is less than 90 degrees (such as the inverted parabolic and the inverted ellipse disturbances), the critical shear velocities are basically the same, which is less than that of the sinusoidal and sawtooth disturbances. The influence of inverted parabolic and inverted ellipse perturbations on the transition point of the RTKHI system is greater than that of other interfaces: (i) For the same amplitude, the smaller the contact angle θ 1 , the later the transition point appears; (ii) For the same interface morphology, the disturbance amplitude increases, resulting in a shorter duration of the linear growth stage, so the transition point is greatly advanced.

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“…The discrete Boltzmann modeling (DBM) method is one of methods for constructing such coarse-grained kinetic models. 8,10 It can be regarded as a variant hybrid of the lattice Boltzmann method (LBM), [49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66] and the description method of nonequilibrium behavior in statistical physics. But it should be pointed out that, being different from the standard LBM in the usual sense, the DBM does not rely on the physical image of lattice gas model where the virtual particles propagate from the current grid to an adjacent grid in one time step.…”

Section: Introductionmentioning

confidence: 99%

Discrete Boltzmann modeling of plasma shock wave

Liu

Song

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Plasma shock waves widely exist and play an important role in high-energy-density environment, especially in the inertial confinement fusion. Due to the large gradient of macroscopic physical quantities and the coupled thermal, electrical, magnetic, and optical phenomena, there exist not only hydrodynamic non-equilibrium (HNE) effects but also strong thermodynamic non-equilibrium (TNE) effects around the wavefront. In this work, a two-dimensional single-fluid discrete Boltzmann model is proposed to investigate the physical structure of ion shock. The electron is assumed inertialess and always in thermodynamic equilibrium. The Rankine–Hugoniot relations for single-fluid theory of plasma shock wave is derived. It is found that the physical structure of shock wave in plasma is significantly different from that in normal fluid and somewhat similar to that of detonation wave from the sense that a peak appears in the front. The non-equilibrium effects around the shock front become stronger with increasing Mach number. The charge of electricity deviates oppositely from neutrality in upstream and downstream of the shock wave. The large inertia of the ions causes them to lag behind, so the wavefront charge is negative and the waverear charge is positive. The variations of HNE and TNE with Mach number are numerically investigated. The characteristics of TNE can be used to distinguish plasma shock wave from detonation wave.

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A simplified finite volume lattice Boltzmann method for simulations of fluid flows from laminar to turbulent regime, Part I: Numerical framework and its application to laminar flow simulation

Cited by 16 publications

References 51 publications

Investigation of nonlinear squeeze-film damping involving rarefied gas effect in micro-electro-mechanical-systems

Investigation of nonlinear squeeze-film damping involving rarefied gas effect in micro-electro-mechanical-systems

Effects of the initial perturbations on the Rayleigh-Taylor-Kelvin-Helmholtz instability system

Discrete Boltzmann modeling of plasma shock wave

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